Pith Number

pith:SG5HBXO2

pith:2015:SG5HBXO2D62CVCGJOIOVLOQ5F4

not attested not anchored not stored refs pending

Complements of tori in $\#_{2k}S^2 \times S^2$ that admit a hyperbolic structure

Hemanth Saratchandran

arxiv:1504.06703 v1 · 2015-04-25 · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SG5HBXO2D62CVCGJOIOVLOQ5F4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:17:44.589637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91ba70ddda1fb42a88c9721d55ba1d2f33354358e5c82bc87c4c169b3749aceb

Aliases

arxiv: 1504.06703 · arxiv_version: 1504.06703v1 · doi: 10.48550/arxiv.1504.06703 · pith_short_12: SG5HBXO2D62C · pith_short_16: SG5HBXO2D62CVCGJ · pith_short_8: SG5HBXO2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SG5HBXO2D62CVCGJOIOVLOQ5F4 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 91ba70ddda1fb42a88c9721d55ba1d2f33354358e5c82bc87c4c169b3749aceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b515d9f6eda75ef573bb5764f0d3897d593c3fb584a2bd98a520bddf88f6e51c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-04-25T09:17:07Z",
    "title_canon_sha256": "73577a5bb5bbdb12a26af63ddc28746583f162c9564b037da72a4c6a322b66c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06703",
    "kind": "arxiv",
    "version": 1
  }
}